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Beliebt Rechnen >

d/(ds)(sqrt(3)(s^3-s^2))

Lösung

\frac{d}{d s} (3 (s^{3} - s^{2}))

Lösung

3 (3 s^{2} - 2 s)

Schritte zur Lösung

\frac{d}{d s} (3 (s^{3} - s^{2}))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d s} (s^{3} - s^{2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 3 (\frac{d}{d s} (s^{3}) - \frac{d}{d s} (s^{2}))

\frac{d}{d s} (s^{3}) = 3 s^{2}

\frac{d}{d s} (s^{2}) = 2 s

= 3 (3 s^{2} - 2 s)

Graph

Beliebte Beispiele

integral of 9e^{-3x}

\int 9 e^{- 3 x} d x

derivative 1/(1-x^2)

d er i v a t i v e \frac{1}{1 - x ^{2}}

y^{''}=-y+0.1y^'

y^{^{''}} = - y + 0.1 y^{^{'}}

limit as x approaches 0 of 81x^4-216x^3+216x^2-96x+16

x \to 0 lim (81 x^{4} - 216 x^{3} + 216 x^{2} - 96 x + 16)

y^'-y=11te^{2t}

y^{^{'}} - y = 11 t e^{2 t}